Exact results for topological strings on resolved \(Y^{p,q}\) singularities

DOI10.1007/s00220-009-0814-4zbMath1195.14057arXiv0804.2598OpenAlexW3099804276MaRDI QIDQ1028570

Andrea Brini, Alessandro Tanzini

Publication date: 6 July 2009

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.2598

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30)

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• Holomorphic anomalies in topological field theories
• Topological strings and integrable hierarchies
• Remodeling the B-model
• Toric geometry, Sasaki-Einstein manifolds and a new infinite class of AdS/CFT duals
• Direct integration of the topological string
• Dimer models from mirror symmetry and quivering amoebæ
• Invariants of algebraic curves and topological expansion
• Topological strings and (almost) modular forms
• Calibrated geometries
• Topological quantum field theory
• Five-dimensional supersymmetric gauge theories and degenerations of Calabi-Yau spaces
• Geometric engineering of quantum field theories
• Five-dimensional gauge theories and relativistic integrable systems
• Instanton sums and five-dimensional gauge theories.
• New phenomena in \(\text{SU}(3)\) supersymmetric gauge theory
• D-branes on noncompact Calabi-Yau manifolds: \(K\)-theory and monodromy
• Integrability and Seiberg-Witten exact solution
• Asymptotic expansions of the Lauricella hypergeometric function \(F _{D}\)
• On the mathematics and physics of high genus invariants of \([\mathbb C^3/\mathbb Z_3\)]
• Hodge integrals and Gromov-Witten theory
• Topological amplitudes in string theory
• Phases of \(N=2\) theories in two dimensions
• \(\text{SU}(N)\) geometries and topological string amplitudes
• The topological vertex
• Relativistic Toda systems
• NONPERTURBATIVE EFFECTIVE ACTIONS OF (N=2)-SUPERSYMMETRIC GAUGE THEORIES
• Introduction to Toric Varieties. (AM-131)
• Extending the Picard-Fuchs system of local mirror symmetry
• Picard–Fuchs ordinary differential systems in N=2 supersymmetric Yang–Mills theories
• Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties
• New results for AdS/CFT and beyond
• Disk Instantons, Mirror Symmetry and the Duality Web
• Local mirror symmetry: Calculations and interpretations
• On the gauge theory/geometry correspondence
• Five-dimensional gauge theories and local mirror symmetry.
• Knot invariants and topological strings.
• Newton-equivalent Hamiltonians for the harmonic oscillator